Integral Equations for Problems on Wave Propagation in Near-Earth Plasma

被引：0
|
作者：
Kostarev, Danila [1 ]
Klimushkin, Dmitri [1 ]
Mager, Pavel [1 ]
机构：
[1] Russian Acad Sci, Inst Solar Terr Phys, Siberian Branch, Irkutsk 664033, Russia
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 08期
关键词：
second kind Fredholm equation; plasma kinetics; ultra-low-frequency waves; magnetosphere; ALFVEN WAVES; DYNAMICS; MIRROR; FIELD;
D O I：
10.3390/sym13081395
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider the solutions of two integrodifferential equations in this work. These equations describe the ultra-low frequency waves in the dipol-like model of the magnetosphere in the gyrokinetic framework. The first one is reduced to the homogeneous, second kind Fredholm equation. This equation describes the structure of the parallel component of the magnetic field of drift-compression waves along the Earth's magnetic field. The second equation is reduced to the inhomogeneous, second kind Fredholm equation. This equation describes the field-aligned structure of the parallel electric field potential of Alfven waves. Both integral equations are solved numerically.
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页数：12
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